Logic Puzzle
Tests an AI's ability to solve a simple but potentially confusing logic puzzle
The Prompt
Sally (a girl) has 3 brothers. Each brother has 2 sisters. How many sisters does Sally have?
Model Responses
Sally has only one sister.
Explanation:
- Sally has 3 brothers.
- Each brother has 2 sisters.
- The two sisters are Sally and one other girl.
Thus, Sally has 1 sister.
Let me help solve this word problem step by step.
Let's break it down:
- Sally is a girl
- Sally has 3 brothers
- Each brother has 2 sisters
The key insight here is that if each brother has 2 sisters, and we know Sally is one of those sisters, then all brothers must share the same sisters.
Since each brother has 2 sisters total, and we know Sally is one of them, there must be one other sister.
Therefore, Sally has 1 sister.
To verify:
- Sally + her 1 sister = 2 sisters total
- This matches the fact that each of the 3 brothers has 2 sisters
The answer is 1 sister.
This is an interesting logical reasoning problem! Let's work through it step by step.
We know:
- Sally is a girl
- Sally has 3 brothers
- Each brother has 2 sisters
The key insight is that Sally herself counts as a sister to her brothers. So when we're told that "each brother has 2 sisters," Sally is one of those sisters.
Since each brother has 2 sisters total, and Sally is one of them, that means each brother has 1 sister besides Sally.
But all brothers share the same sisters (they're all siblings in the same family). So if Sally has 3 brothers, and each brother has the same 2 sisters (Sally and someone else), then Sally has exactly 1 sister.
Therefore, Sally has 1 sister.
To solve this problem, I need to analyze the relationships carefully.
Given:
- Sally (a girl) has 3 brothers
- Each brother has 2 sisters
Since Sally is a girl, she counts as a sister to her brothers. So each of Sally's brothers has Sally as one of their sisters.
If each brother has 2 sisters total, and one of those sisters is Sally, then there must be exactly 1 other sister that all the brothers share.
Therefore, Sally has 1 sister.
Sally has 3 brothers. Each brother has 2 sisters. Since Sally is one sister, there must be one more sister to make the total number of sisters each brother has equal to 2. Therefore, Sally has 1 sister.
Answer: Sally has 1 sister.
Sally has one sister. All of Sally's brothers share the same two sisters: Sally and one other girl.
Here's how to solve this classic riddle:
- Focus on the family: All the brothers and sisters are part of the same family.
- Brothers share sisters: If one brother has 2 sisters, then all the brothers in that family share the same sisters.
Since each brother has 2 sisters, and Sally is a sister in the family, those 2 sisters must include Sally and one other sister.
Therefore, Sally has 2 sisters.
First, note that each of Sally’s three brothers has exactly two sisters. One of those sisters is clearly Sally. Since each brother’s two sisters must be the same two girls for all of them, there must be exactly one other sister besides Sally.
Therefore, Sally has 1 sister.
Sally has 1 sister.
Explanation:
Sally's 3 brothers each have 2 sisters. Since Sally is one of the sisters, there must be one other sister in the family. Thus, aside from Sally, there is one more sister.
Let's break down the problem:
- Sally is a girl.
- Sally has 3 brothers.
- Each brother has 2 sisters.
Let's analyze:
Sally's siblings:
- 3 brothers (let's call them B1, B2, B3)
- Sally herself
The brothers' sisters:
- Each brother has 2 sisters.
Who are the possible sisters for each brother?
- Sally is a sister to each brother.
- Are there any other sisters? That's the question!
If Sally is the only girl, then each brother would only have 1 sister (Sally). But the problem says each brother has 2 sisters.
Therefore, there must be another sister besides Sally.
Let's check: Suppose Sally has 1 sister (besides herself). So the siblings are:
- Sally (girl)
- A second sister (let's call her Anna)
- 3 brothers
Children in the family:
- 2 girls (Sally and Anna)
- 3 boys (the brothers)
Now, for each brother:
- Their sisters are Sally and Anna: 2 sisters (matches the problem statement).
So, Sally has 1 sister.
Final answer:
[ oxed{1} ]
Sally has 1 sister.
Sally has no sisters. She is the only girl in her family, as the problem states that she has 3 brothers and they each have 2 sisters, which refers to Sally herself. Therefore, the number of sisters Sally has is 0.
- Participants and Their Relationships:
- Sally is a girl with 3 brothers, so there are 3 boys in the family.
- Each brother (being male) has 2 sisters.
- Determine the Number of Girls:
- Every brother's sisters are the female siblings in the family.
- Since each brother has 2 sisters, there must be 2 girls in total.
- Calculate Sally's Sisters:
- Since Sally is one of the 2 girls, her only sister is the other girl in the family.
- Therefore, Sally has 1 sister.
Answer: Sally has \boxed{1} sister.
Let's break this down step by step. Sally is a girl and has 3 brothers. The problem states that each of these brothers has 2 sisters.
Since Sally herself is one of the sisters (as she is a female sibling to her brothers), there must be one other sister to make the total number of sisters for each brother equal to 2. Therefore, the family consists of 2 girls (Sally and her sister) and 3 boys (Sally's brothers).
From Sally's perspective, the number of sisters she has is the number of other girls in the family besides herself. Since there is 1 other girl, Sally has 1 sister.
Answer: Sally has 1 sister.
Let's break down the problem:
- Sally is a girl.
- She has 3 brothers.
- Each brother has 2 sisters.
Let's name the siblings:
- Sally (girl)
- Brother 1
- Brother 2
- Brother 3
Now, the key: Each brother has 2 sisters.
Since Sally is one of the sisters, let's see if there are more:
Suppose there is only one girl (Sally) in the family.
- Then each brother would have only 1 sister: Sally.
- But the problem says they have 2 sisters each.
Thus, Sally must have one sister (since the brothers must have 2 sisters). Let's call this other sister "Anna".
So the siblings are:
- Sally (girl)
- Anna (girl)
- Brother 1
- Brother 2
- Brother 3
Now, each brother has 2 sisters: Sally and Anna.
So, how many sisters does Sally have?
- Sally's sisters = 1 (Anna).
Final Answer:
Sally has 1 sister.
Sally has 2 sisters.
Here's the reasoning:
- Sally has 3 brothers.
- Each brother has 2 sisters.
- Since Sally is one of those sisters, the other sister is the other girl brothers share.
Therefore, Sally has 2 sisters in total.
Let's analyze the information:
- Sally has 3 brothers.
- Each brother has 2 sisters.
Since Sally is a girl and one of the sisters, for each brother to have 2 sisters, it means there must be a total of 2 sisters in the family (including Sally).
Therefore:
- Total number of sisters = 2
- Sally is one of them
- So, Sally has 1 sister
Answer: Sally has 1 sister.
Sally has exactly one sister. Explanation: the "two sisters" each brother sees are Sally plus one other girl. So there are only two girls in the family – Sally and her one sister.
Let
• S = number of sisters in the family (girls)
• B = number of brothers in the family (boys)
Given
- Sally has 3 brothers ⇒ B = 3.
- Each brother has 2 sisters ⇒ every boy sees exactly 2 girls in the sibling group.
Therefore S = 2.
Since Sally herself is one of those 2 sisters, the number of sisters Sally has (other than herself) is
2 – 1 = 1.
Sally has 1 sister.
Sally has exactly one sister. Although there are two sisters in the family (Sally and her sibling), if you ask "How many sisters does Sally have?" the answer is 1.
Here's how to solve this:
- The brothers all share the same sisters. Sally is one of those sisters.
- Since each brother has 2 sisters, and Sally is one of the sisters, there must be one other sister.
So, Sally has 1 sister.